Zero-Energy Problems for Supersymmetric Hamiltonians on a Chain Are QMA 1-Complete
This research proves that finding exact zero modes for supersymmetric Hamiltonians arranged on a one-dimensional chain is computationally hard, placing it in the QMA1 complexity class. It shows this hardness holds even when interactions are geometrically local and applies to both Hermitian supercharges and explicitly encoded nilpotent N=2 formulations, identifying a specific structure within quantum systems.